State Error Estimates for the Numerical Approximation of Sparse Distributed Control Problems in the Absence of Tikhonov Regularization

Author:

Casas EduardoORCID,Mateos Mariano

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference23 articles.

1. Brenner, S.C., Scott, L.R.: The Mathematical Theory of Finite Element Methods. In: Texts in Applied Mathematics. 2nd edn., vol. 15. Springer, New York (2002)

2. Cameron, A.W.: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations. Ph.D. thesis, Cornell University (2010)

3. Carstensen, C.: Quasi-interpolation and a posteriori error analysis in finite element methods. M2AN Math. Model. Numer. Anal. 33, 1187–1202 (1999)

4. Casas, E.: Second order analysis for bang-bang control problems of PDEs. SIAM J. Control Optim. 50, 2355–2372 (2012)

5. Casas, E.: A review on sparse solutions in optimal control of partial differential equations. SeMA J. 74, 319–344 (2017)

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